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Aptitude · Q182

Geometry

Competitive Exams · Aptitude · question 182

Q182

In the given figure, chords AD and BC in the circle, are extended to E and F, respectively. If ∠CDE = 85°, ∠DCF = 94°, then the value of ∠ABF + ∠EAB is:

In the given figure, chords AD and BC in the circle, are extended to E and F, respectively.
Geometry mcq question image
If ∠CDE = 85°, ∠DCF = 94°, then the value of ∠ABF + ∠EAB is:
A.
182°
B.
194°
C.
179°
Answer
D.
168°

Answer: Option C

Solution

Answer: Option C
Solution:
∠COD = ∠ABF (by the property of cyclic Quadrilateral)
∠DCF = ∠EAB
∠ABF + ∠EAB = 85° + 94° = 179°